\(J\)-fusion frame operator for Krein spaces

DOI10.1007/S41478-022-00476-0OpenAlexW2904795069WikidataQ114217512 ScholiaQ114217512MaRDI QIDQ2692664

Shibashis Karmakar

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07391

zbMATH Keywords

Krein spaceGramian operator\(J\)-projection\(J\)-fusion frameuniformly \(J\)-definite subspace

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

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• On frames for Kreĭn spaces
• Fusion frames and distributed processing
• Frames in Krein spaces arising from a non-regular \(W\)-metric
• On the duality of fusion frames
• Properties of \(J\)-fusion frames in Krein spaces
• A new identity for Parseval frames
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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